Random Young diagrams in a Rectangular Box

Research output: Working paper/Preprint Working paperResearch

  • Dan Beltoft, Denmark
  • Cédric Boutillier, PMA, DMA
  • ,
  • Nathanaël Enriquez, PMA, MODAL'X
  • Centre for Quantum Geometry of Moduli Spaces
  • Department of Mathematical Sciences
We exhibit the limit shape of random Young diagrams having a distribution proportional to the exponential of their area, and confined in a rectangular box. The Ornstein-Uhlenbeck bridge arises from the fluctuations around the limit shape.
Translated title of the contributionRandom Young diagrams in a Rectangular Box
Original languageEnglish
PublisherarXiv.org
Publication statusPublished - 2010

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ID: 34235782